Abelian connections on complex manifolds

ANDRADA A., BARBERIS M.L., DOTTI I.

Santiago de Compostella

Congreso; Conference in Geometry and Global Analysis; 2010

Universidad de Santiago de Compostella

Given an almost complex manifold (M, J), we will be interested in studying affine connections on M with trivial holonomy such that J is parallel and the corresponding torsion T is of type (1, 1) with respect to J. Our motivation for studying this class of connections arises from the fact that Lie groups carrying abelian complex structures, which have been studied previously by the authors, are natural examples of such manifolds.M, J), we will be interested in studying affine connections on M with trivial holonomy such that J is parallel and the corresponding torsion T is of type (1, 1) with respect to J. Our motivation for studying this class of connections arises from the fact that Lie groups carrying abelian complex structures, which have been studied previously by the authors, are natural examples of such manifolds.